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Question

Mathematics Question on Tax

I purchased a hair-dryer for Rs 5,4005,400 including 88 % VAT. Find the price before VAT was added.

Answer

The price includes VAT.
Thus, 88 % VAT means that if the price without VAT is Rs 100100,
then price including VAT will be RsRs 108108.
When price including VAT is RsRs 108108, original price = RsRs 100100
When price including VAT is RsRs 54005400
original  priceoriginal \;price = RsRs (100108×5400)\bigg(\frac{100}{108} × 5400\bigg)
= 50005000

Thus, the price of the hair-dryer before the addition of VAT was Rs  5,000Rs\; 5,000.